If some one don't consider it as standard or serious mathemtics, they can take it as normalpuzzles.As for my satisfaction, I saw the meaning of PUZZLE in the Consise Oxford English Dictionary.There one of meaning of puzzle is ?a game , toy, or problem designed to test ingenuity or knowledge?.As my english is not very good I saw the meaning of INGENUITY , its meaning is? the quality ofbeing ingenious? and meaning of INGENIOUS is ?clever, original and inventive?.I think theseproblems satisfy all these condition, so these can considered as good puzzles.Going further I sawthe meaning of PROBLEM , its meaning in mathematical sense is ?an inquiry starting from givenconditions to investigate or demonstrate something?.Here these problems are investigating anddemonstrating the beautiful inter- relationship between specific triangles and circle.So it is not wothless thing to devote some time to these problems , even if very easy solution canbe given by other methods.Certainly these things are not going to find any practical application, butmathematics is not done for its practicality but for its beauty, fun , joy and feeling of triumph afterone is able to find an elegant solution of a given problem.I think G. H. Hardy was of this opinion thatit makes mathematician sick if his work find some practical use.But again life is miraculous thingwhen Hardy was writing this Number Theory had no use. Regards Sujeet